Volume of Filter Media given Efficiency of Second Filter Stage Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume = (BOD Loading to Filter 2/Recirculation factor)*1/(((1-Efficiency of First Filter Stage)/0.0561)*(100/Efficiency of Second Filter Stage-1))^2
VT = (W'/F)*1/(((1-E1)/0.0561)*(100/E2-1))^2
This formula uses 5 Variables
Variables Used
Volume - (Measured in Cubic Meter) - Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
BOD Loading to Filter 2 - (Measured in Kilogram per Second) - BOD loading to filter 2 is the total BOD present in the incoming sewage in filter 2.
Recirculation factor - Recirculation factor r represents the average number of passes of the influent organic matter through the trickling filter.
Efficiency of First Filter Stage - Efficiency of first filter stage calculates the efficiency of the filter at the first stage.
Efficiency of Second Filter Stage - Efficiency of second filter stage is the total efficiency obtained from the second trickling filter.
STEP 1: Convert Input(s) to Base Unit
BOD Loading to Filter 2: 2.4 Kilogram per Day --> 2.77777777777778E-05 Kilogram per Second (Check conversion here)
Recirculation factor: 0.5 --> No Conversion Required
Efficiency of First Filter Stage: 100 --> No Conversion Required
Efficiency of Second Filter Stage: 99 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
VT = (W'/F)*1/(((1-E1)/0.0561)*(100/E2-1))^2 --> (2.77777777777778E-05/0.5)*1/(((1-100)/0.0561)*(100/99-1))^2
Evaluating ... ...
VT = 1.74844999999998E-07
STEP 3: Convert Result to Output's Unit
1.74844999999998E-07 Cubic Meter --> No Conversion Required
FINAL ANSWER
1.74844999999998E-07 1.7E-7 Cubic Meter <-- Volume
(Calculation completed in 00.004 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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NSS College of Engineering (NSSCE), Palakkad
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1 Volume of Filter Calculators

Volume of Filter Media given Efficiency of Second Filter Stage
Go Volume = (BOD Loading to Filter 2/Recirculation factor)*1/(((1-Efficiency of First Filter Stage)/0.0561)*(100/Efficiency of Second Filter Stage-1))^2

Volume of Filter Media given Efficiency of Second Filter Stage Formula

Volume = (BOD Loading to Filter 2/Recirculation factor)*1/(((1-Efficiency of First Filter Stage)/0.0561)*(100/Efficiency of Second Filter Stage-1))^2
VT = (W'/F)*1/(((1-E1)/0.0561)*(100/E2-1))^2

What is filter stage?

Single stage unit consists of a primary settling tank, filter, secondary settling tank and facilities for recirculation of the effluent. Two stage filters consist of two filters in series with a primary settling tank, an intermediate settling tank which may be omitted in certain cases and a final settling tank.

How to Calculate Volume of Filter Media given Efficiency of Second Filter Stage?

Volume of Filter Media given Efficiency of Second Filter Stage calculator uses Volume = (BOD Loading to Filter 2/Recirculation factor)*1/(((1-Efficiency of First Filter Stage)/0.0561)*(100/Efficiency of Second Filter Stage-1))^2 to calculate the Volume, The Volume of Filter Media given Efficiency of Second Filter Stage is the total capacity of the filter to accommodate the incoming sewage. Volume is denoted by VT symbol.

How to calculate Volume of Filter Media given Efficiency of Second Filter Stage using this online calculator? To use this online calculator for Volume of Filter Media given Efficiency of Second Filter Stage, enter BOD Loading to Filter 2 (W'), Recirculation factor (F), Efficiency of First Filter Stage (E1) & Efficiency of Second Filter Stage (E2) and hit the calculate button. Here is how the Volume of Filter Media given Efficiency of Second Filter Stage calculation can be explained with given input values -> 1.7E-7 = (2.77777777777778E-05/0.5)*1/(((1-100)/0.0561)*(100/99-1))^2.

FAQ

What is Volume of Filter Media given Efficiency of Second Filter Stage?
The Volume of Filter Media given Efficiency of Second Filter Stage is the total capacity of the filter to accommodate the incoming sewage and is represented as VT = (W'/F)*1/(((1-E1)/0.0561)*(100/E2-1))^2 or Volume = (BOD Loading to Filter 2/Recirculation factor)*1/(((1-Efficiency of First Filter Stage)/0.0561)*(100/Efficiency of Second Filter Stage-1))^2. BOD loading to filter 2 is the total BOD present in the incoming sewage in filter 2, Recirculation factor r represents the average number of passes of the influent organic matter through the trickling filter, Efficiency of first filter stage calculates the efficiency of the filter at the first stage & Efficiency of second filter stage is the total efficiency obtained from the second trickling filter.
How to calculate Volume of Filter Media given Efficiency of Second Filter Stage?
The Volume of Filter Media given Efficiency of Second Filter Stage is the total capacity of the filter to accommodate the incoming sewage is calculated using Volume = (BOD Loading to Filter 2/Recirculation factor)*1/(((1-Efficiency of First Filter Stage)/0.0561)*(100/Efficiency of Second Filter Stage-1))^2. To calculate Volume of Filter Media given Efficiency of Second Filter Stage, you need BOD Loading to Filter 2 (W'), Recirculation factor (F), Efficiency of First Filter Stage (E1) & Efficiency of Second Filter Stage (E2). With our tool, you need to enter the respective value for BOD Loading to Filter 2, Recirculation factor, Efficiency of First Filter Stage & Efficiency of Second Filter Stage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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